Answer:
Frank's confidence interval, (.75, .89) has to be wrong.
The explanation is presented below.
Step-by-step explanation:
The Confidence Interval for the population proportion is basically an interval of range of values where the true population proportion can be found with a certain level of confidence.
Mathematically,
Confidence Interval = (Sample proportion) ± (Margin of error)
Margin of Error is the width of the confidence interval about the mean.
So, a sample proportion of 80% indicates that Beth's interval of (.73, .87) gives a margin of error of 7%.
Making the lower limit of the interval be
(Sample proportion) - (Margin of error) = 80 - 7 = 73%
Upper limit of the interval = (Sample proportion) + (Margin of error) = 80 + 7 = 87%
Hence, this confidence interval is plausible for the survey carried out.
But Frank's interval of (.75, .89) doesn't work with the definition of a confidence interval given above. The range has to be equally spread around the mean with (lower limit, upper limit). The lower limit cannot be 75 and the upper limit 89.
If the lower limit is truly 75, the margin of error has to be (80 - 75), 5%. And the corresponding upper limit should be (80 + 5), 85%.
Frank's interval as (.75, .85) would have been more plausible.
And if the upper limit is truly 89%, the fiitting lower limit, judging by the distance of the upper limit from the sample proportion (89 - 80 = 9%), should be (80 - 9), 71%. Frank's interval as (.71, .89) would also have been more plausible.
Hope this Helps!!!
Factorise 2y^2 + y + 6xy + 9x - 3
Answer: (2y+3)(3x+y-1)
Step-by-step explanation:
First regroup the terms.
6xy+9x+2y^2+y-3
Second factor 3x out of 6xy+9x
3x(2y)+9x+2y^2+y-3
3x(2y)+3x(3)+2y^2+y-3
And you get
3x(2y+3)+2y^2+y-3
Third factor by grouping
Please help me!!! show work
Answer:x=8 or x=-2
Step-by-step explanation:
log4(x-6) + log4(x)=2
log4(x(x-6))=2
4^2=x(x-6)
4x4=x(x-6)
16=x^2-6x
Arrange the quadratic equation
x^2-6x-16=0
x^2+2x-8x-16=0
x(x+2)-8(x+2)=0
(x-8)(x+2)=0
x-8=0. x+2=0
x=8. x=-2
Write the following trigonometric ratio using an acute angle: tan 162 degrees
Answer:
-tan(18°) or tan(-18°)
Step-by-step explanation:
The angle given is in the 3rd quadrant, so the tangent is negative. The reference angle is ...
180° -162° = 18°
Tangent is an odd function, so ...
tan(-x) = -tan(x)
This means we can write the required ratio two ways:
tan(-18°)-tan(18°)The states that dropped out of the Union, became the __________________ States of America 58 POINTS!!!
Answer:
Confederate
Step-by-step explanation:
During the time that led up to the conflict known as the Civil War of America, the major cause of tension was slavery. Southern plantation owners and farmers fiercely advocated slavery because they helped with the harvest of crops and the overall southern economy. The northerners, however, resisted slavery, saying it was immorally and inhumanely wrong.
At the culmination of this tension, many southern states, led by Jefferson Davis (who later became the "president" of the Confederate states), decided to secede from the Union (break away) and establish their own entity, which they called the "Confederate States of America".
Verify that 1 + cos 2 theta / 2 cos theta = cos theta is an identity
Answer and Step-by-step explanation:
We want to verify that (1 + cos(2θ)) / 2cos(θ) = cos(θ).
Let's focus on the left side. Look at cos(2θ). This is an identity, so remember that cos(2θ) = cos²θ - sin²θ. Also, look at the 1. Remember that sin²θ + cos²θ = 1, so plug both of these expressions into our equation:
(1 + cos(2θ)) / 2cos(θ) =? cos(θ)
((sin²θ + cos²θ) + (cos²θ - sin²θ)) / 2cos(θ) =? cos(θ)
2cos²θ / 2cosθ =? cosθ
cosθ = cosθ
Thus, we have proved this is an identity.
Answer:
(1 + cos(2theta))/2cos(theta)
cos(2theta) = 2cos²(theta) - 1
(1 + 2cos²(theta) - 1)/2cos(thetal
2cos²(theta)/2cos(theta)
cos(theta)
A tire manufacturer has a 60,000 mile warranty for tread life. The manufacturer considers the overall tire quality to be acceptable if less than 5% are worn out at 60,000 miles. The manufacturer tests 250 tires that have been used for 60,000 miles. They find that 9 of them are worn out. With this data, we test the following hypotheses at the 5% significance level. The P-value is 0.15
H0: The proportion of tires that are worn out after 60,000 miles is equal to 0.05.
Ha: The proportion of tires that are worn out after 60,000 miles is less than 0.05.
Which of the following conclusions is correct?
A. Accept H0.
B. Fail to reject H0.
C. Reject H0.
Answer:
Fail to reject H₀
Step-by-step explanation:
To reject the null hypothesis, the P-value must be less than 0.05.
Since the P-value is 0.15 which is greater than 0.05, we would fail to reject the null hypothesis as there is no sufficient evidence against the null hypothesis.
Thus, the conclusion would be to fail to reject H₀.
What best determines whether a borrower’s interest rate on an adjustable rate loan goes up or down
Answer:
a market's condition
Step-by-step explanation:
edge 2021
Market conditions best determine whether a borrower’s interest rate on an adjustable rate loan goes up or down.
What is the interest rate?It is the cost of borrowing money.
Interest rate levels depend on the supply and demand of the money.
Supply and demand are a part of market conditions.
We see that,
An increase in demand for money will increase the interest rate.
A decrease in demand for money will decrease the interest rate.
Conversely,
An increase in the supply of money will decrease the interest rate.
A decrease in the supply of money will increase the interest rate.
Demand and supply are market conditions
Thus market conditions best determine whether a borrower’s interest rate on an adjustable rate loan goes up or down.
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A 6-sided die is rolled three times. What is the probability of rolling a 4 each time?
A 0.00463
B. 0.99537
C 0.16667
D. 0.00231
Answer:
a
Step-by-step explanation:
math
Round 0.378 to the place underlined digit 3
Answer:
0.38
Step-by-step explanation:
7 is the 3rd digit, so 8 is greater then 5, so you round up, if it is correct, can you give brainiest
Answer:
0.40
Step-by-step explanation:
this is because the number before it is up to five and even more than 5 so we round it up by adding one to the next number and the remaining digit to zero
1. Si pide prestado $ 600 por siete años a una tasa de interés del 7%, ¿cuánto interés pagará?
Answer:
Su pago mensual sería de $9.06 (Espero que esto ayude)
Step-by-step explanation:
Assume the competing hypotheses take the following form: H0: µ1 – µ2 = 0, HA: µ1 – µ2 ≠ 0, where µ1 is the population mean for population 1 and µ2 is the population mean for population 2. Also assume that the populations are normally distributed and that the observations in the two samples are independent. The population variances are not known but are assumed equal. Which of the following expressions is appropriate test statistic?
a. taf
b. 2
c. 1-2 21 n
d. täf 2 t1
Answer:
[tex]t=\frac{\bar x_1- \bar x_2}{\sqrt{\frac{s_1^2}{n_1} +\frac{s_2^2}{n_2} } }[/tex]
Step-by-step explanation:
H0: µ1 – µ2 = 0
HA: µ1 – µ2 ≠ 0
We have given,
The population variances are not known and cannot be assumed equal.
The test statistic for the test is
[tex]t=\frac{\bar x_1- \bar x_2}{\sqrt{\frac{s_1^2}{n_1} +\frac{s_2^2}{n_2} } }[/tex]
Where,
[tex]\bar x_1[/tex] = sample meaan of population 1
[tex]\bar x_2[/tex] = sample mean of population 2
[tex]n_1[/tex] = sample size of population 1
[tex]n_2[/tex] = sample size of population 2
Therefore, this is the test
[tex]t=\frac{\bar x_1- \bar x_2}{\sqrt{\frac{s_1^2}{n_1} +\frac{s_2^2}{n_2} } }[/tex]
solve for the coefficient -5=a(0-2)(0-3)(0-5)
Answer:
a = 1/6
Step-by-step explanation:
-5=a(0-2)(0-3)(0-5)
Simplify
-5=a(-2)(-3)(-5)
-5 = a(-30)
Divide each side by -30
-5/-30 = -30a/-30
1/6 =a
Answer:
1/6
Step-by-step explanation:
2 Points
You and your friend enter a drawing with 3 different prizes. A total of 12
people entered the drawing, and prizes are awarded randomly.
There are 1320 ways to award the prizes.
What is the probability that you win first prize and your friend wins second
prize?
O A
B.
10
1320
O O O O
C.
12
1320
D.
1320
creo que la respuesta es D
Answer:10/1320
Step-by-step explanation:
How to find the area of the seating area
Parallelogram area is base times height. Base of 14, height of 10,
Answer: A = (14 ft)(10 ft) second choice
Answer:
choice B
Step-by-step explanation:
if I bought 6 apples and 1 pair for $2.00 HOW MUCH WAS EACH ITEMS COST?
Answer:
$6.00
Step-by-step explanation:
6 apples = 3 pairs
1 pair=$2.00
3 pair=
$6.00
Solve |6k + 12| + 9=9 for k
Answer:
k= -2
Step-by-step explanation:
HELP ME ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.
Answer:
C. y = x² + 7x + 10
Step-by-step explanation:
I graphed the equation on the graph below to show you how I got my answer.
Six minus a number divided by 3 equals 8. What is the number?
Answer:
-18
Step-by-step explanation:
let n be the number
(6-n)/3 = 8
6-n = 24
6-24 = n
-18 = n
Answer:
The number is 30
Step-by-step explanation:
Six minus a number divided by 3 equals 8
x-6/3 = 8
x-6 = 8*3
x = 24 +6
x = 30
What’s the correct answer for this?
ANSWER: D
Isosceles Right Triangle has 3 angles: 90 degrees, 45 degrees and 45 degrees
Answer:
D
Step-by-step explanation:
It is isosceles (having two sides and angles congruent) and it is right will provide enough information to find all the angles of the triangles.
1) Which system of linear equations could the graph represent? A) y = x + 5 y = 2x + 4 B) y = 3x + 6 y = −4x + 8 C) y = −3x + 6 y = −x + 3 D) y = −2x + 6 y = −4x + 8
Answer:
A
Step-by-step explanation:
Correct systems of linear equations which represent the two lines are,
a. x=3, y=6
e. y= x + 3, y= 2x
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
There are two lines are graphed on the same coordinate plane.
And, the lines only intersect at the point (3,6).
Now, We know that;
When Point (3, 6) is lies on line then it satisfy the equation of lines.
Hence, By options;
a. x=3, y=6
Clearly, Point (3, 6) is lies on line.
e. y= x + 3, y= 2x
y = x + 3
y = 3 + 3
y = 6
Hence, Point (3, 6) is lies on line.
Thus, Correct systems of linear equations which represent the two lines are,
a. x=3, y=6
e. y= x + 3, y= 2x
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complete question:
Two lines are graphed on the same coordinate plane.the lines only intersect at the point (3,6).which of these systems of linear equations could represent the two lines?
a. x=3
y=6
b. x=6+y
y=3+x
c. y=3x-3
y= x-1
d. x=3+y
y=6+x
e. y= x+3
y= 2x
Zack is 7 years old than lacy. Ronnie is 23.Jane is 15 years younger than Ronnie and 16 years younger than Lacey.how old is lacey
Can someone help ??
Answer:
A. is 10/12 B. is 8/28 C. is 20/45
Step-by-step explanation:
I think
an automobile traveled 21 miles north from the airport. it then turned directly west and traveled 28 miles. how far is the automobile from the airport??
The automobile is 35 miles away from the airport
A table has an area of 12 li and a perimeter of 16 ft. What are the dimensions of
O
O
2 ft by 6 ft
2 ft by 8 ft
4 ft by 3 ft
4 ft by 4 ft
O
Your answer would be i'm pretty sure 2ft by 6 ft or 4ft by 3ft I am not positively sure but if I did my maths right then they should be our answer(s) not sure...still.
You delete 1/8 of the messages in your email inbox. What percent of the messages did you delete
I don't have many friends to get messages in my email box
Ana has a rectangular garden with a width of 2.3 meters and a length of 2.8 meters. She makes the model below to help her determine the area of her garden. What is the area of Ana's garden?
Answer:
6.44 m2
Step-by-step explanation:
ESSON 3 REFINE
The rectangular prism shown below has a volume of 42 cubic
meters. What is the length of the prism? Show your work
What dim
labeled
prisma
3 m
2 m
Answer:
The length of the prism = 3m
See below for explanation
Step-by-step explanation:
The question is incomplete without the diagram stated in the question.
Since the diagram is missing, I'll show you how you can determine the length of a prism.
Volume of prism = length × width × height = l×w×h
Find attached below the diagram used in solving the question.
From the diagram,
height = 7m
Width = 2m
Given that the volume of prism = 42 cubic meters = 42m³
Length of prism = ?
Inserting the values of the variables:
42 = l×2×7
42 = 14×l
l = 42/14
l = 3
The length of the prism = 3m
What does the graph of Ax)=-(x-3)* +11 look like?
A. opens downward with a vertex of (3, 11)
B. opens downward with a vertex of (-3, 11)
C. opens upward with a vertex of (3, 11)
D. opens upward with a vertex of (-3, 11)
Answer:
A. opens downward; vertex (3, 11)
Step-by-step explanation:
The leading coefficient is negative (-1), so we know the parabola opens downward.
The vertex in the form ...
A(x) = a(x -h)² +k
is (h, k). Comparing to the given equation, we find (h, k) = (3, 11).
The vertex is (3, 11).
In the data set below, what is the upper quartile?
3344466889
Answer:8
Step-by-step explanation:
3 3 4 4 4 6 6 8 8 9
data in upper quartile section are 6 8 8 9
We therefore find the median of 6 8 8 9
The median is the upper quartile
Upper quartile=(8+8)/2
Upper quartile=16/2
Upper quartile=8
In a recent survey, 30 students reported whether they liked their potatoes Mashed, French-fried, or Twice-baked. 15 liked them mashed, 20 liked French fries, and 9 liked twice baked potatoes. Additionally, 12 students liked both mashed and fried potatoes, 5 liked French fries and twice baked potatoes, 6 liked mashed and baked, and 3 liked all three styles. How many students hate potatoes? (4 points)
Answer:
Totally 6 people hate potatoesStep-by-step explanation:
Incase the figure is not clear
here, it is
⇒ 30 = 15 + 20 + 9 - 12 - 6 - 5 + 3 + h
⇒ h = 30 - 44 - 3 + 23
⇒ h = 53 - 47
h = 6
Hence, Totally 6 people hate potatoes
Answer: 6 students hate potatoes.
Step-by-step explanation:
The Venn diagram representing the situation is shown in the attached photo.
Set M represents the set of students that like mashed potatoes.
Set F represents the set of students that like French fried potatoes.
Set T represents the set of students that like Twice-baked potatoes.
H represents the number of students that hate potatoes.
3 liked all three styles
The number of students that like mashed and twice baked potatoes only is 6 - 3 = 3
The number of students that like mashed and French fried potatoes only is 12 - 3 = 9
The number of students that like twice baked and French fried potatoes only is 5 - 3 = 2
The number of students that like mashed potatoes only is 15 - (9 + 3 + 3) = 0
The number of students that like French fried potatoes only is 20 - (9 + 3 + 2) = 6
The number of students that like twice baked potatoes only is 9 - (3 + 3 + 2) = 1
Since the total number of students is 30, it means that
0 + 6 + 1 + 3 + 9 + 2 + 3 + H = 30
24 + H = 30
H = 30 - 24
H = 6
